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Finding the Fourth Proportional to 104,516, 156,800.04 and 30,644

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Solution

The fourth proportional to 104,516, 156,800.04 and 30,644 is: 45,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,516 : 156,800.04 = 30,644 : x
  2. Step 2: Convert to fraction form
    104,516/156,800.04 = 30,644/x
  3. Step 3: Cross multiply
    104,516x = 156,800.04 × 30,644
  4. Step 4: Simplify right side
    104,516x = 4,804,980,425.76
  5. Step 5: Solve for x
    x = 4,804,980,425.76/104,516
  6. Step 6: Final answer
    x = 45,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.